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Finding the Fourth Proportional to 392.38, 541.16 and 259.61

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Solution

The fourth proportional to 392.38, 541.16 and 259.61 is: 358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.38 : 541.16 = 259.61 : x
  2. Step 2: Convert to fraction form
    392.38/541.16 = 259.61/x
  3. Step 3: Cross multiply
    392.38x = 541.16 × 259.61
  4. Step 4: Simplify right side
    392.38x = 140,488.31
  5. Step 5: Solve for x
    x = 140,488.31/392.38
  6. Step 6: Final answer
    x = 358.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.